The generating set given in [1]} has a very simple form in the case of \(\operatorname{FMap} (T)\)  which
we now describe.
Fix a curve \(\beta \)  on \(T\)  that separates the two limit ends of \(T\) . This decomposes the end space into two sets,
which we denote by \(A\)  and \(B\) . We denote the limit end in \(A\)  by \(x_A\)  and
the limit end in \(B\)  by \(x_B\) . In addition, we fix an ordering on the punctures
in \(T\)  (the non-limit ends) and label them with \(p_i\) , \(i \in \mathbb {Z}\)  such that
\(p_i \in A\)  for \(i \le 0\)  and \(p_i \in B\)  for \(i >0\) .
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